Greatest Common Factor of 2610 and 2618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2610, 2618 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2610 and 2618 is 2.

GCF(2610,2618) = 2

GCF of 2610 and 2618

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2610 and 2618

GCF of 2610 and 2618 is 2

Prime Factorization of 2610


2 2610
3 1305
3 435
5 145
29 29
1

Prime factors of 2610 are 2,3,5,29. Prime factorization of 2610 in exponential form is:

2610 = 21×32×51×291

Prime Factorization of 2618


2 2618
7 1309
11 187
17 17
1

Prime factors of 2618 are 2,7,11,17. Prime factorization of 2618 in exponential form is:

2618 = 21×71×111×171

∴ So by taking common prime factors GCF of 2610 and 2618 is 2

Greatest Common Factor of 2610 and 2618 by matching factors method

Factors of 2610

List of positive integer factors of 2610 that divides 2610 without a remainder.

1,2,3,5,6,9,10,15,18,29,30,45,58,87,90,145,174,261,290,435,522,870,1305,2610

Factors of 2618

List of positive integer factors of 2618 that divides 2618 without a remainder.

1,2,7,11,14,17,22,34,77,119,154,187,238,374,1309,2618

Greatest Common Factor

We found the factors and prime factorization of 2610 and 2618. The biggest common factor number is the GCF number.
So the greatest common factor 2610 and 2618 is 2.

Also check out the Least Common Multiple of 2610 and 2618

Properties of GCF 2610 and 2618

(i) The GCF of 2610 and 2618 is associative

GCF of 2610 and 2618 = GCF of 2618 and 2610

Related Greatest Common Factor of 2610

Related Greatest Common Factor of 2618

Frequently Asked Questions on GCF of 2610 and 2618

1. What is the GCF of 2610 and 2618?

Answer: GCF of 2610 and 2618 is 2.

2. What are the Factors of 2610?

Answer: Factors of 2610 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305, 2610. There are 24 integers that are factors of 2610. The greatest factor of 2610 is 2610.

3. What are the Factors of 2618?

Answer: Factors of 2618 are 1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 374, 1309, 2618. There are 16 integers that are factors of 2618. The greatest factor of 2618 is 2618.

4. How to Find the GCF of 2610 and 2618?

Answer:

Greatest Common Factor of 2610 and 2618 = 2

Step 1: Find the prime factorization of 2610

2610 = 2 x 3 x 3 x 5 x 29

Step 2: Find the prime factorization of 2618

2618 = 2 x 7 x 11 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 2610 and 2618 is 2